Calculus
posted by Star .
FIND THE LIMIT
As x approaches 0:
tan 5 x/sin 25 x

use lptals rule
the derivative of tan(5x)=sec(5x)^2
the derivative of sin(25x)=cos(25x)*5
the lim of tan(5x)/(sin(25x))=the lim of
sec(5x)^2/(cos(25x)*5)
direct substution will work for this limit so I will evaluate at 0
the answer is 1/5